A researcher tries to evaluate the performance of a statistics software.  He selects a random variable X with a density function f(x)=2(1−x), if 0

Find the period in Hz of an object oscillating in simple harmonic motion if its frequency is 8 seconds.

I will not answer a phone, leave the room, or communicate with another person during the exam.  My room will remain quiet and distraction free.  My eyes will remain on the screen at all times, and not constantly look to the side or in my lap.  I will not read questions out loud.

The internal shear force V at a certain section of a steel beam is 80 kN, and the moment of inertia is 64,867,500 mm4. Determine the horizontal shear stress at point H, which is located L = 50 mm below the centroid.

What type of cartilage is represented in the image below?  (Do NOT type the word “cartilage” in your answer.)

Find the length of a pendulum in m on Earth whose period is 8 seconds.

For a beam with the cross-section shown (w = 13.5 in. and h = 20.5 in.), find the distance from the bottom surface of the beam to the centroid.

A 14-ft-long simply supported timber beam carries a P = 10.5-kip concentrated load at midspan as shown. The cross-sectional dimensions of the timber are also shown. At section a-a, determine the magnitude of the shear stress in the beam at point K.

The internal shear force V at a certain section of an aluminum beam is 40 kN. The beam’s centroid is located 54.40 mm above the bottom surface of the beam, and the moment of inertia is Iz = 398,300 mm4. Determine the shear stress at point H, which is located 30 mm above the bottom surface of the beam.

Two bars have the same moment of inertia around their horizontal centroidal axes. The hollow bar has an outside diameter of 3.500 in. and a wall thickness of 0.700 in. Determine the diameter of the solid bar.